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Finding the Third Proportional to 206,729 and 445,128

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Solution

The third proportional to 206,729 and 445,128 is: 958,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,729 : 445,128 = 445,128 : x
  2. Step 2: Convert to fraction form
    206,729/445,128 = 445,128/x
  3. Step 3: Cross multiply
    206,729x = 445,128 × 445,128
  4. Step 4: Simplify right side
    206,729x = 198,138,936,384
  5. Step 5: Solve for x
    x = 198,138,936,384/206,729
  6. Step 6: Final answer
    x = 958,447.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.